The ratio of the number of geese in Farm J to the number of geese in Farm K was 5 : 9. There were 48 fewer geese in Farm J than in Farm K. When 5 geese escaped from Farm K, the farmer in Farm K bought another 17 geese. What was the new ratio of the number of geese in Farm J to the number of geese in Farm K in the end? Give your answer in the simplest form.
|
Farm J |
Farm K |
Before |
5 u |
9 u |
Change 1 |
|
- 5 |
Change 2 |
|
+ 17 |
After |
5 u |
9 u + 12 |
Number of fewer geese in Farm J than Farm K
= 9 u - 5 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Number of geese in Farm J
= 5 u
= 12 x 5
= 60
Number of geese in Farm K
= 9 u
= 12 x 9
= 108
New number of geese in Farm K
= 9 u + 12
= 108 + 12
= 120
Farm J : Farm K
60 : 120
(÷ 60)1 : 2
Answer(s): 1 : 2